4 1) Charlie has two hats (orange and green) on any given day the probability th

Question

4 1) Charlie has two hats (orange and green) on any given day the probability that he wears the orange bike is 0.4, wears the green bike is 0.2 and wears both hats is 0.1. Find the following) a) Probability that he wears at least one hat. b) The probability that he wears at most one hat c The probability that he wears just one hat d) The probability that he wears no hat e The probability he wears no hat f) The probability that he wears the orange hat given that he wore the green hat 2) In how many ways can a poker hand of 5 cards be dealt so as to a) Get one king b) Get 4 spades c) Get all the cards of the same suit 3) There are 5 members of navy seals and 6 members of the air force for a selection of a taskforce of 3 people. a) In how many ways can this task force by selected? b) In how many ways can this tasks for be selected if c) In how many ways can candidates be lined up such that the d) In how many ways can candidate be lined up first that the Johnathan(air force) must be in it? first 3 must be from the air force? first 3 are members of the air force with Jonathan leading a memorial parade? of ONLY airforce members of same-group members? e) What is the probability that the task force selected consists f) What is the probability that the task force selected consists 4) A box contains 4 red, 5, blue and 7 green beads.Suppose James draws a bead and then Charlie draws one? a)What is the probability that Charlie got a green given that James gets a blue? b) What is the probability that James gets a blue and Charlie gets a green? c) What is the probability that Charlie gets a blue and James gets a green. 5) Suppose a single die is rolled a) What is the probability that getting a 5 given that an odd number was rolled b) What is the probability of getting an odd number given that a 5 was rolled.

Explanation / Answer

4)a) after Janes gets a blue; there remains 15 beads. hence probability Charlie got a green given James got a blue =7/15

b)probability =probability of James gopt a blue* probability of Charlie got a green given James got a blue= (5/16)*(7/15)=7/48

c)similarly probability =(7/16)*(5/15)=7/48

please revert for any clarification required

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